feat(CUST-WP-0014): repo sync automation & Gitea inventory

- Migration e2f3a4b5c6d7: add last_state_synced_at to managed_repos
- consistency_check.py: PATCH last_state_synced_at after fix run;
  fix ~ treated as non-empty state_hub_task_id (C-03 vs C-11);
  fix _inject_task_id_into_block skipping injection when field exists
  with null value
- install_hooks.sh: idempotent post-commit hook installer for all
  registered repos (make install-hooks REPO= / install-hooks-all)
- gitea_inventory.py: compare coulomb Gitea org against state-hub
  registered repos — registered / unregistered / hub-only sections
- infra/README.md: document systemd user timer + crontab fallback
- systemd user timer: custodian-sync.{service,timer} runs
  fix-consistency-all every 15 min (enabled)
- dashboard/src/repo-sync.md: Repo Sync Health page — sync age table,
  unregistered Gitea repos, hub-only repos
- api/routers/repos.py: GET /repos/{slug}/dispatch endpoint returning
  active goal, pending tasks per workstream, human interventions
- mcp_server/server.py: get_repo_dispatch() MCP tool

Co-Authored-By: Claude Sonnet 4.6 <noreply@anthropic.com>

api/schemas/managed_repo.py

@@ -1,5 +1,6 @@
 import uuid
 from datetime import datetime
+from typing import Any
 
 from pydantic import BaseModel, ConfigDict
 
@@ -20,6 +21,7 @@ class RepoUpdate(BaseModel):
     remote_url: str | None = None
     description: str | None = None
     topic_id: uuid.UUID | None = None
+    last_state_synced_at: datetime | None = None
 
 
 class RepoRead(BaseModel):
@@ -36,5 +38,29 @@ class RepoRead(BaseModel):
     topic_id: uuid.UUID | None = None
     sbom_source: str | None = None
     last_sbom_at: datetime | None = None
+    last_state_synced_at: datetime | None = None
     created_at: datetime
     updated_at: datetime
+
+
+class DispatchTask(BaseModel):
+    id: uuid.UUID
+    title: str
+    priority: str
+    status: str
+    needs_human: bool
+
+
+class DispatchWorkstream(BaseModel):
+    id: uuid.UUID
+    title: str
+    status: str
+    pending_tasks: list[DispatchTask]
+
+
+class RepoDispatch(BaseModel):
+    repo_slug: str
+    active_goal: dict[str, Any] | None
+    active_workstreams: list[DispatchWorkstream]
+    human_interventions: list[DispatchTask]
+    last_state_synced_at: datetime | None